Find the flow rate of a fluid with velocity field (mathbf{v}=langle 2 x, y, x yangle mathrm{m}

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Find the flow rate of a fluid with velocity field \(\mathbf{v}=\langle 2 x, y, x yangle \mathrm{m} / \mathrm{s}\) across the part of the cylinder \(x^{2}+y^{2}=\) 9 where \(x \geq 0, y \geq 0\), and \(0 \leq z \leq 4\) (distance in meters).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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